Finding the Third Proportional to 12,900 and 19,854
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Solution
The third proportional to 12,900 and 19,854 is: 30,556.69
Step by Step Solution
- Step 1: Write the proportion equation
12,900 : 19,854 = 19,854 : x - Step 2: Convert to fraction form
12,900/19,854 = 19,854/x - Step 3: Cross multiply
12,900x = 19,854 × 19,854 - Step 4: Simplify right side
12,900x = 394,181,316 - Step 5: Solve for x
x = 394,181,316/12,900 - Step 6: Final answer
x = 30,556.69
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.